128750400 has 126 divisors (see below), whose sum is σ = 457660502. Its totient is φ = 34329600.

The previous prime is 128750399. The next prime is 128750467. The reversal of 128750400 is 4057821.

It can be written as a sum of positive squares in 3 ways, for example, as 13660416 + 115089984 = 3696^2 + 10728^2 .

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 9930 + ... + 18870.

Almost surely, 2^128750400 is an apocalyptic number.

128750400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 128750400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (228830251).

128750400 is an abundant number, since it is smaller than the sum of its proper divisors (328910102).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

128750400 is a wasteful number, since it uses less digits than its factorization.

128750400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8969 (or 8951 counting only the distinct ones).

The product of its (nonzero) digits is 2240, while the sum is 27.

The square root of 128750400 is about 11346.8233440025. The cubic root of 128750400 is about 504.9513399509.

The spelling of 128750400 in words is "one hundred twenty-eight million, seven hundred fifty thousand, four hundred".